17,000 is the answer
6 is the thousand digit and we always want to round when we do thousands to the nearest hundred and since she rounded it to the nearest hundred first it should look like this 16,500 then rounded to the nearest thousand is 17,000 we always round up when we have a number more then 5 and round down less than 5.
Consider the diagram and the derivation below. Given: In △ABC, AD ⊥ BC Derive a formula for the area of △ABC using angle C. It is given that in △ABC, AD ⊥ BC. Using the definition of sine with angle C in △ACD results in sin(C) = . Using the multiplication property of equality to isolate h, the equation becomes bsin(C) = h. Knowing that the formula for the area of a triangle is A = bh is and using the side lengths as shown in the diagram, which expression represents the area of △ABC? bsin(C) absin(C) cbsin(C) hbsin(C) Mark this and return
Answer:
[tex]A=\frac{1}{2}a*b*sin(C)[/tex]
Step-by-step explanation:
First consider the diagram:
Now, we know that
[tex]Sin(C)=\frac{AD}{AC} \\ Sin(C) =\frac{h}{b} \\h=bsin(C)[/tex]
Now, the area of the triangle ABC is given by,
[tex]A=\frac{1}{2}*BC*AD\\\\A=\frac{1}{2}*a*h\\\\A=\frac{1}{2}*a*c*sin(C)\\\\A=\frac{1}{2}a*b*sin(C)[/tex]
What are the hypothesis and conclusion of the following statement? Write it as a conditional first. Statement: Residents of Key West live in Florida.
In the statement 'if you are a resident of Key West, then you live in Florida', the hypothesis is 'you are a resident of Key West' and the conclusion is 'you live in Florida'.
Explanation:The given statement is, 'Residents of Key West live in Florida'. This is a given fact in a single sentence. In terms of a conditional statement, the hypothesis is the 'if' part and the conclusion is the 'then' part.
Let's write the statement as a conditional: 'If you are a resident of Key West, then you live in Florida'. In this statement, the hypothesis is 'you are a resident of Key West' and the conclusion is 'you live in Florida'.
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PLEASE HELP 98 POINTS!!!!!!
What is the reason for each step in the solution of the equation?
19=5x−1
Drag and drop the reasons into the boxes to correctly complete the table.
19=5x−1
20=5x
4=x
Combine Like Terms, Division Property of Equality, Addition Property of Equality, Commutative Property, Given
19 = 5x - 1
Solve for x.
Note the equal sign. What you do to one side, you do to the other. Isolate the x. Do the opposite of PEMDAS.
=> Addition Property of Equality.
Add 1 to both sides
19 = 5x - 1
19 (+1) = 5x - 1 (+1)
=> Combine like terms
Add 19 and 1
19 + 1 = 5x
20 = 5x
=> Division property of equality
Divide 5 from both sides
(20)/5 = (5x)/5
x = 20/5
x = 4
----------------------------------------------------------------------------------------------------------------------------
hope this helps
~Rise Above the Ordinary
Mrs. Santos has 24 students in her class. Five-eighths of her students have nicknames. Mr. Russo also has 24 students in his class. Only one-third of his students have nicknames. How many students from Mrs. Santos' class and Mr. Russo's class do not have nicknames?
In Mrs. Santos' class, five-eighths of the students have nicknames, meaning that three-eighths don't have nicknames. Three-eighths of 24 is 9, so 9 students don't have nicknames.
In Mr. Russo's class, one-third of the students have nicknames, meaning that two-thirds don't have nicknames. Two-thirds of 24 is 16, so 16 students don't have nicknames.
Therefore, there are 9 students from Mrs. Santos' class and 16 students from Mr. Russo's class who don't have nicknames.
2. In a random sample of 130 World Campus students, 92 were employed full-time.
We want use these data to construct a 95% confidence interval to estimate the proportion of all World Campus students who are employed full-time. Is it appropriate to use the normal approximation method? Show how you checked assumptions.
Answer:
Step-by-step explanation:
Given that sample size is 130 >30. Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)
Hence we can assume normality assumptions here.
Proportion sample given = 92/130 = 0.7077
The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n
Hence mean proportion p= 0.7077
q = 1-p =0.2923
Std error = 0.0399
For 95% confidence interval we find that z critical for 95% two tailed is 1,.96
Hence margin of error = + or - 1.96(std error)
= 0.0782
Confidence interval = (p-margin of error, p+margin of error)
= (0.7077-0.0782,0.7077+0.0782)
=(0.6295, 0.7859)
We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.
Basic geometry help please !
Find the missing angle measurements.
The options are :
60°, 64°, 45°, 49°, 53°
Answer:
Top right ?- 60
? above 64- 64
Bottom left- 45
Step-by-step explanation:
Triangles equal 180.
The question mark above 64, the 64 and ? are congruent so the question mark is 64.
The question mark in top right, add 64+56=120. Since triangles equal 180, subtract 180-120=60
The question mark in bottom left, add 64+71=135. Since triangles equal 180, subtract 180-135=45
Hope it helps!
The value of the three missing angles are 45°, 60°, and 64°.
We have,
From the figure,
we have vertical angles.
So,
One missing angle is 64°.
Now,
There are two triangles.
The sum of angles in a triangle is 180.
So,
56 + 64 + x = 180
x = 180 - 56 - 64
x = 60°
And,
The sum of angles in a triangle is 180.
So,
71 + 64 + y = 180
y = 180 - 71 - 64
y = 45°.
Thus,
The value of the three missing angles are 45°, 60°, and 64°.
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What is the scientific notation of 427 thousand
3x +5 = 2x+8 how do i solve?
Answer,
X = 3
Explanation,
Subtract 5 from both sides.
3x+5-5=2x+8-5
Simplify.
3x=2x+3
Subtract 2x from both sides.
3x-2x=2x+3-2x
Simplify.
x=3
Hope this helps :-)
Is this equation true, false or open? 9p+8=10p+7
9p+8=10p+7
9p - 10p = 7 - 8
-p = -1
p = 1
TRUE
The equation 9p+8=10p+7 is a true equation as it provides a specific solution upon rearrangement and simplification which is p = 1.
Explanation:The equation you have provided: 9p + 8 = 10p + 7, is what we refer to as an equation in algebra. A way to determine if an equation is true, false or open is by attempting to solve. Firstly, let's put all 'p' terms on one side of the equation and numbers on the other. It would look like this after simplification: 10p - 9p = 8 - 7, which simplifies to: p = 1. Since we found a specific solution (p = 1), this means the equation is classified as true.
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convert 6/9 into a fraction with d
enominator of 27
To convert the fraction 6/9 to a fraction with a denominator of 27, multiply both the numerator and denominator by 3. The resulting fraction is 18/27.
Explanation:To convert the fraction 6/9 into a fraction with a denominator of 27, first identify the multiplication factor that changes 9 into 27. In this case, it's 3 (because 9*3 = 27). You need to maintain the fraction equivalent by applying the same operation to the numerator. So, multiply 6 by 3 to get 18. Therefore, the equivalent fraction of 6/9 with a denominator of 27 is 18/27.
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Find the LCM of 21 and 27
The correct Answer:
LCM = 189
for the values:
27, 21
factorization of 21
21 = 3 × 7
factorization of 27
27 = 3 × 3 × 3
LCM = 3 × 3 × 3 × 7
LCM = 189
An apple is cut into 10 pieces. 0.8 of the apple is eaten.
Which fraction, in simplest form,represents the amount of the apple that is left?
Answer:
0.2
Step-by-step explanation:
65834 rounded to the nearest ten thousand
Answer:
70,000
Step-by-step explanation:
65834
First, identify the ten-thousands digit.
4 - ones digit
3 - tens digit
8 - hundreds digit
5 - thousands digit
6 - ten-thousands digit.
The 6 is the ten-thousands digit.
First, make every digit to the right of the ten-thousands digit zero.
You get 60,000.
Now check the digit just to the right of the ten-thousands digit. If it is zero through 4, you are done. If it is 5 through 9, the 6 goes up 1 to 7. The digit to the right of the ten-thousands digit is 5, so the 6 goes up 1 to 7, and the answer is 70,000.
−2 1/2 ÷ 6
A. −2 1/6
B. −5 1/2
C. 5 1/2
D. 2 1/6
the answer is - [tex]\frac{5}{12}[/tex]
given - 2 [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{6}{1}[/tex]
change the mixed number to an improper fraction
- 2 [tex]\frac{1}{2}[/tex] = - [tex]\frac{5}{2}[/tex]
• leave the first fraction
• change division to multiplication
• turn the second fraction upside down
- [tex]\frac{5}{2}[/tex]× [tex]\frac{1}{6}[/tex] = - [tex]\frac{5(1)}{2(6)}[/tex] = - [tex]\frac{5}{12}[/tex]
Alex buys 5.5 yards of blue fabric and 4.5 yards of red fabric. If the blue and red fabric cost the same amount per yard, and alex pays $74 for all of the fabric, what is the cost per yard?
$7.40, if you add 5.5 and 4.5 it will equal 10. Then you divide 74 by 10.
Answer:
7.50
Step-by-step explanation:
I had this b4
if you know that 7 - square root 5 is it root of a polynomial function
Answer:
As you must know, If one root of the polynomial 7-√5, the other will be 7+√5 i.e irrational root occur in pairs.
A polynomial function cannot have single unreal i.e irrational root. It always occur in pairs.
So , consider a polynomial function of any degree, if it has a root 7-√5, then it must have another root as 7+√5.
A polynomial can't have 7-√5 as a single root.
What is the value of minus 6 x cubed minus y squared minus 3 x y if if x = -2 and y = 4
Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:
[tex]-6x^{2} -y^{2} -3xy[/tex]
Then, if we insert the values for x and y, we get:
[tex]-6(-2)^{2} -(4)^{2} -3(-2)(4)[/tex]
When we distribute and multiply:
[tex]144-16-24[/tex]
And once we combine like terms:
104 is the answer
The given statement can be written in expression form as
[tex]-6x^3-y^2-3xy[/tex]
As the value of [tex]x=-2[/tex] and [tex]y=4[/tex] are given .
To find the value of expression at the given values of [tex]x[/tex] and [tex]y[/tex] , we have to insert the values into the expression
[tex] -6(-2)^3-(4)^2-3(-2)(4)[/tex]
Now solving by cubing and squaring the numbers
[tex]-6(-8)-16-3(-8)[/tex]
As negative negative is positive and positive negative is negative
[tex] 48-16+24[/tex]
Adding like terms and subtracting we get
[tex]72-16=56[/tex]
56 is the Answer
Hope this will help
Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formfoula
Answer:
4c² + 7c - 5 = 0
c = (-7 ± √(7² - 4(4)(-5)))/(2(4))
= (-7 ± √(49 + 80))/8
= (-7 ± √129)/8
Final answer:
To solve the equation 4c^2 + 7c - 5 = 0, use the quadratic formula to find the roots by substituting the values of a, b, and c into the formula and solving.
Explanation:
The equation is 4c2 + 7c - 5 = 0.
Using the quadratic formula:
Identify a = 4, b = 7, and c = -5.
Substitute into the formula: c = (-b ± √(b2 - 4ac)) / 2a.
Calculate the roots by plugging in the values: c = (-7 ± √(72 - 4*4*(-5))) / 2*4.
c = 0.66
Round 5,403.264 to the nearest hundred.
The answer is 5,400 because you take out the decimal and the 3 and make it 400 because hats what you do in rounding
What is ten times two?
Answer:
10x2=20
Step-by-step explanation
you add 10 2 times and you get 20 a more simple way of getting the answer.
Hope this helped =)
Fill in blanks to make equation true. 3 •1/3 = ________
im pretty sure it equals 1
The number to correctly fill in the blank in the equation 3 • 1/3 is 1. This is because multiplying 3 by 1/3 is the same as dividing 3 by 3, which equals 1.
Explanation:In the given equation 3 • 1/3 = ____, you are asked to fill in the blank to make the equation true. Remember that '•' is a symbol representing multiplication. When you multiply 3 by 1/3, we are essentially dividing 3 by 3. This operation results in 1, so to make the equation true, you would insert '1' into the blank. Thus, the full equation, solved, is '3 • 1/3 = 1'.
To fill in the blank and make the equation true, we need to multiply 3 by 1/3. The product of 3 and 1/3 is 1. Therefore, 3 * 1/3 = 1.
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Simplify the expression. Write your answer as a power.
(b^12)^3
Hello Tim!
[tex](b^1^2)^3\\[/tex]
First you had to apply exponents rule.
[tex]b^1^2^*^3[/tex]
Refine it should be the correct answer.
[tex]=b^3^6[/tex]
Answer⇒⇒⇒b³⁶
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
PLEASE HELP FAST FOR 3 QUESTIONS 30 POINTS AVAILABLE!!!
Answer:
Hmm for the 4th question i think its 36.4
and 5th is interpolation
hard to read number 6 btw sense its not focused
hope i helped
branliest answer pls
how long would it take?
To find how long it would take, you must divide the total amount of gallons of water in the pond by the amount of gallons drained per hour. This would translate to:
4290 ÷ 78
Which would give you the total amount of hours needed to completely drain the pool, aka the answer:
4290 ÷ 78 = 55
Evaluate the expression using properties of operations.
-1.2 ÷ 1/6 * 5 * (-2)
A. -72
B. 2
C. 72
D. 120
Answer:
I would say C 72 you because I took test on and I made 100
I need help finding the common difference for 3 !
Its super duper easy but please help!
Answer:
each person would get 4 with 4 left over
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
24/3=8
trinda score 72,67,82, and 79 on her algebra tests . use an inequality to find the minimum score she can make on the final exam to pass the course with an average of 80 or higher
(72+67+82+79+f)/5 >=80 to find the average we add up all the scores and divide by the number. she took 4 tests plus the final which is 5. It must be greater than or equal to 80
(300+f)/5>=80 added up the test scores
300+f >= 400 multiply each side by 5
f>= 100 subtract 100 from each side
Trinda needs 100 or greater
To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we set up an inequality and solve for the minimum score.
Explanation:To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we can set up an inequality. Let's represent the minimum score as x. The average of Trinda's algebra tests scores is given by: (72 + 67 + 82 + 79 + x) / 5. To pass the course with an average of 80 or higher, the inequality would be: (72 + 67 + 82 + 79 + x) / 5 ≥ 80.
To solve this inequality, we need to multiply both sides by 5 to eliminate the denominator: 72 + 67 + 82 + 79 + x ≥ 80 * 5. Simplifying this, we get: 300 + x ≥ 400. To isolate x, we subtract 300 from both sides: x ≥ 100.
Therefore, Trinda needs to score a minimum of 100 on her final exam to pass the course with an average of 80 or higher.
(6 1/2+2 3/4)-1.5*(4.5 divided by 0.5)
Answer: - (4 1/4)
Solution:
(6 1/2 + 2 3/4) - 1.5*(4.5/0.5)=
(6 0.5 + 2 0.75) - 1.5*(9)=
(6.5+2.75) - 13.5=
(9.25) - 13.5=
- 4.25=
-(4 0.25)=
-(4 1/4)
Absolute Value.
Evaluate |a + b - c|, given a = 5, b = -3, and c = -2.
A)-4
B)4
C)10
D)0
The answer is B 5+-3--2 =4